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A complete handout about the Lorenz curve including various applications, including an Excel spreadsheet graphing Lorenz curves and calculating Gini coefficients as well as coefficients of variation. LORENZ 3.0 is a Mathematica notebook which draw sample Lorenz curves and calculates Gini coefficients and Lorenz asymmetry coefficients from data ...
Gini coefficients are simple, and this simplicity can lead to oversights and can confuse the comparison of different populations; for example, while both Bangladesh (per capita income of $1,693) and the Netherlands (per capita income of $42,183) had an income Gini coefficient of 0.31 in 2010, [72] the quality of life, economic opportunity and ...
The Gini coefficient, the Hoover index and the Theil index as well as the related welfare functions [33] can be computed together in a spreadsheet. [ Note 5 ] The welfare functions serve as alternatives to the median income.
The Lorenz asymmetry coefficient characterizes an important aspect of the shape of a Lorenz curve. It tells which size or wealth classes contribute most to the population’s total inequality, as measured by the Gini coefficient. If the LAC is less than 1, the inequality is primarily due to the relatively many small or poor individuals.
This is a list of countries and territories by income inequality metrics, as calculated by the World Bank, UNU-WIDER, OCDE, and World Inequality Database, based on different indicators, like Gini coefficient and specific income ratios.
A more frequently encountered inequality measure is the Gini coefficient which is based on the summation, over all income-ordered population-percentiles, of the cumulative income up to each percentile. That sum is divided by the maximum value that it could have (its value with complete equality), to express it as a percentage of its maximum ...
with the last term being the Gini coefficient for the Dagum distribution. Although the Dagum distribution is not the only three-parameter distribution used to model income distribution, one study found it to usually be a better fit than other three-parameter models.
The Gini coefficient for a continuous probability distribution takes the form: = where is the CDF of the distribution and is the expected value. For the log-logistic distribution, the formula for the Gini coefficient becomes: